Mix the tomato juice, horseradish, Worcestershire sauce, lemon juice, celery salt, garlic salt, and black pepper in a large pitcher. Season with 10-15 shakes of Tabasco sauce, or to taste. Refrigerate until ready to serve.
Wet the rim of two (16-20 oz) glasses with a piece of fresh lemon. Then dip the glass rims into a tablespoon of Old Bay seasoning (shake it onto a flat dish).
Fill glasses with ice.
Fill an 8-ounce glass to the top with ice. Add 2 ounces of vodka then top with bloody mary tomato mixture. Stir.